Was maybe there a typo here? Did you mean to say you’re now using Innovative for SMS?
I’m not too familiar with their product, but maybe @derekbrownrhpl knows someone who could speak to the CirrusImpact (?) reporting capabilities.
Polaris itself stores information on the counts of OUTBOUND notices delivered and their type. I don’t know if there are any built-in canned reports, but you can get hints of the tables involved by looking at this post.